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Finding the Third Proportional to 235,234 and 509,347

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Solution

The third proportional to 235,234 and 509,347 is: 1,102,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,234 : 509,347 = 509,347 : x
  2. Step 2: Convert to fraction form
    235,234/509,347 = 509,347/x
  3. Step 3: Cross multiply
    235,234x = 509,347 × 509,347
  4. Step 4: Simplify right side
    235,234x = 259,434,366,409
  5. Step 5: Solve for x
    x = 259,434,366,409/235,234
  6. Step 6: Final answer
    x = 1,102,877.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.